The Model
 Method for
Upper Primary
        Dr Yeap Ban Har
 banhar@sg.marshallcavendish.com
Marshall Cavendish Institute Singapore

  Presentation slides are available at
      www.banhar.blogspot.com
The Model Method is Just One of Many
  Methods taught in Primary School
The Model Method
5




1st Day                         250 – 40 = 210
2nd Day   4                     210 : 5 = ?

3rd Day   4   4           250   42 + 16 = ?

4th Day   4   4   4             Rosa made 58 paper
                                cranes on the last day.
5th Day   4   4   4   4
1st Day

2nd Day     4

3rd Day     4   4

4th Day     4   4   4
                                        250
5th   Day   4   4   4   4

6th Day     4   4   4   4   4

7th Day     4   4   4   4   4   4

8th Day     4   4   4   4   4   4   4
1+2+3+4+5+6+7+8+9=?
1st   Day
                   There are 45 fours.
2nd Day     4      45 x 4 = 180
                              10 units = 250 – 180 = 70
3rd Day     4     4           01 units = 70 : 10 = 7

4th Day     4     4     4           She made (7 + 9 x 4) = 43 paper
                                    cranes on the last day.           250
5th   Day   4     4     4     4

6th Day     4     4     4     4     4

7th Day     4     4     4     4     4      4

8th Day     4     4     4     4     4      4     4
Struggling           Average            Advanced
Draw the model for Draw the model for Draw the model for
all 10 days. Or      about 7 or 8 days. 3 or 4 days. Using
reduce the                              algebra.
problems to 4 days.
Or act the situation
out using counters.
Sam

Terry     72

Vanessa
36 years old




Sam

Terry               72

Vanessa   36
Vanessa
          72
Terry
Sam




Sam

Terry           72

Vanessa
Pablo

Wynn
          ?
Zena



        100
Advanced Techniques
270




110
2 units = 160 g
                            1 units = 160 g : 2 = 80 g
                            The container weighs
      270                   110 g – 80 g = 30 g
            Using algebra
            x+ 3y = 270
            x + y = 110

110         So, 2y = 160
            y = 160 : 2 = 80
            x + y = 110
            So, x = 30
            The container weighs 30 g.
x     y    y    y


          270
x     y


    110
boys
        34
girls
boys
        68
girls
boys
        88 – 68 = 20
girls
boys
        88 – 68 = 20
girls
boys


girls
boys


girls
boys                   2 girls units = 14
        34             1 girls unit = 7
girls                  3 girls units = 21

                  21 girls wear spectacles.
        34 – 20
Differentiated Instruction for Struggling
        and Advanced Learners
cookies cake   3,6 kg
cookies
cookies




cookies
basketball



 soccer                Answer: 60




          basketball



             soccer

                                    Answer: 100
Try These Yourselves!
210
5 units = 60
                  1 units = 60 : 5 = 12
                                    8 units = 8 x 12 = 80 + 16 = 96
Number of women                     There are 96 people at the party.
Number of men
Number of children
$120
tuna



chicken   185
$1.10



7
Apples   Pears
Strategies
•   Who is in the story? What is it about?
•   Read a sentence. Do something.
•   Leave out numbers in reading a sentence.
•   Are you sure? Is it easy?
•   Do more mental computations.
•   Can you explain this step? Maybe other
    people cannot understand it.
Basic Models include Part-Whole Model,
 Change Model and Comparison Model
Mathematics to develop visualization
   through bar models, number sense
through mental calculation, and ability to
   manage information through word
               problems.
Parents coaching children are providing the
    ‘voice’ that eventually becomes the
          children’s own thinking.

The Model Method for Upper Primary

  • 1.
    The Model Methodfor Upper Primary Dr Yeap Ban Har banhar@sg.marshallcavendish.com Marshall Cavendish Institute Singapore Presentation slides are available at www.banhar.blogspot.com
  • 2.
    The Model Methodis Just One of Many Methods taught in Primary School
  • 4.
  • 5.
    5 1st Day 250 – 40 = 210 2nd Day 4 210 : 5 = ? 3rd Day 4 4 250 42 + 16 = ? 4th Day 4 4 4 Rosa made 58 paper cranes on the last day. 5th Day 4 4 4 4
  • 6.
    1st Day 2nd Day 4 3rd Day 4 4 4th Day 4 4 4 250 5th Day 4 4 4 4 6th Day 4 4 4 4 4 7th Day 4 4 4 4 4 4 8th Day 4 4 4 4 4 4 4
  • 7.
    1+2+3+4+5+6+7+8+9=? 1st Day There are 45 fours. 2nd Day 4 45 x 4 = 180 10 units = 250 – 180 = 70 3rd Day 4 4 01 units = 70 : 10 = 7 4th Day 4 4 4 She made (7 + 9 x 4) = 43 paper cranes on the last day. 250 5th Day 4 4 4 4 6th Day 4 4 4 4 4 7th Day 4 4 4 4 4 4 8th Day 4 4 4 4 4 4 4
  • 9.
    Struggling Average Advanced Draw the model for Draw the model for Draw the model for all 10 days. Or about 7 or 8 days. 3 or 4 days. Using reduce the algebra. problems to 4 days. Or act the situation out using counters.
  • 10.
    Sam Terry 72 Vanessa
  • 11.
    36 years old Sam Terry 72 Vanessa 36
  • 12.
    Vanessa 72 Terry
  • 13.
    Sam Sam Terry 72 Vanessa
  • 14.
    Pablo Wynn ? Zena 100
  • 15.
  • 16.
  • 17.
    2 units =160 g 1 units = 160 g : 2 = 80 g The container weighs 270 110 g – 80 g = 30 g Using algebra x+ 3y = 270 x + y = 110 110 So, 2y = 160 y = 160 : 2 = 80 x + y = 110 So, x = 30 The container weighs 30 g.
  • 18.
    x y y y 270 x y 110
  • 19.
    boys 34 girls
  • 20.
    boys 68 girls
  • 21.
    boys 88 – 68 = 20 girls
  • 22.
    boys 88 – 68 = 20 girls
  • 23.
  • 24.
  • 25.
    boys 2 girls units = 14 34 1 girls unit = 7 girls 3 girls units = 21 21 girls wear spectacles. 34 – 20
  • 27.
    Differentiated Instruction forStruggling and Advanced Learners
  • 28.
  • 29.
  • 30.
  • 31.
    basketball soccer Answer: 60 basketball soccer Answer: 100
  • 32.
  • 33.
  • 35.
    5 units =60 1 units = 60 : 5 = 12 8 units = 8 x 12 = 80 + 16 = 96 Number of women There are 96 people at the party. Number of men Number of children
  • 38.
  • 39.
  • 40.
  • 41.
    Apples Pears
  • 42.
    Strategies • Who is in the story? What is it about? • Read a sentence. Do something. • Leave out numbers in reading a sentence. • Are you sure? Is it easy? • Do more mental computations. • Can you explain this step? Maybe other people cannot understand it.
  • 43.
    Basic Models includePart-Whole Model, Change Model and Comparison Model
  • 44.
    Mathematics to developvisualization through bar models, number sense through mental calculation, and ability to manage information through word problems.
  • 45.
    Parents coaching childrenare providing the ‘voice’ that eventually becomes the children’s own thinking.